An artist's concept of the latest, highly accurate measurement of the universe from BOSS. The spheres show the current size of the "baryon acoustic oscillations" (BAOs) from the early universe, which have helped to set the distribution of galaxies that we see in the universe today. Galaxies have a slight tendency to align along the edges of the spheres — the alignment has been greatly exaggerated in this illustration. BAOs can be used as a "standard ruler" (white line) to measure the distances to all the galaxies in the universe.

Zosia Rostomian, Lawrence Berkeley National Laboratory

Researchers from the Baryon Oscillation Spectroscopic Survey (BOSS) announced that they have measured the distances to galaxies more than 6 billion light-years away to an unprecedented accuracy of just 1 percent. Their measurements place new constraints on the properties of the mysterious “dark energy” thought to permeate empty space, which causes the expansion of the universe to accelerate.

“There are not many things in our daily lives that we know to 1 percent accuracy,” said David Schlegel from Lawrence Berkeley National Laboratory (LBNL) in California. “I now know the size of the universe better than I know the size of my house.”

“Determining distance is a fundamental challenge of astronomy,” said Eisenstein. “You see something in the sky: How far away is it? Once you know how far away it is, learning everything else about it is suddenly much easier.”

Throughout history, astronomers have met this challenge using many different techniques. For example, distances to planets in the solar system can be measured quite accurately using radar, but for more distant objects, astronomers must turn to less direct methods. Regardless of the method, every measurement has some uncertainty, which can be expressed as a percentage of the thing being measured. For example, if you measure the distance from Washington to New York, which is 200 miles (320 kilometers), to within 2 miles (3km) of the true value, you have measured to an accuracy of 1 percent.

Only a few hundred stars and a few star clusters are close enough to have distances measured to 1 percent accuracy. Nearly all of these stars are only a few thousand light-years away, and all are still within our Milky Way Galaxy. Reaching out a million times farther away, the new BOSS measurements probe far beyond our galaxy to map the universe with unprecedented accuracy.

With these new highly accurate distance measurements, BOSS astronomers are making new inroads in the quest to understand dark energy. “We don’t yet understand what dark energy is, but we can measure its properties,” said Eisenstein. “Then, we compare those values to what we expect them to be, given our current understanding of the universe. The better our measurements, the more we can learn.”

Making a 1 percent measurement at a distance of 6 billion light-years requires a completely different technique from measurements in the solar system or the Milky Way. BOSS, the largest of the four projects that make up the Sloan Digital Sky Survey III (SDSS-III), was built to take advantage of this technique — measuring the so-called “baryon acoustic oscillations” (BAOs), subtle periodic ripples in the distribution of galaxies in the cosmos.

These ripples are imprints of pressure waves that moved through the early universe, which was so hot and dense that particles of light — photons — moved along with the protons and neutrons, known collectively as “baryons,” that today make up the nuclei of atoms. The original size of these ripples is known, and their size today can be measured by mapping galaxies.

“With these galaxy measurements, nature has given us a beautiful ruler,” said Ashley Ross from the University of Portsmouth. “The ruler happens to be half a billion light-years long, so we can use it to measure distances precisely, even from very far away.”

Making these measurements required astronomers to map the locations of 1.2 million galaxies. BOSS uses a specialized instrument that can make detailed measurements of 1,000 galaxies at a time. “On a clear night when everything goes perfectly, we can add more than 8,000 galaxies and quasars to the map,” said Kaike Pan from the SDSS-III’s 2.5-meter Sloan Foundation Telescope at Apache Point Observatory in New Mexico.

The BOSS team presented preliminary BAO measurements from its early galaxy maps a year ago, but the new analysis covers an area more than twice as large, and thus provides a much more precise measurement. The new data set also includes the first BAO measurements from a sample of nearby galaxies. “Making these measurements at two different distances allows us to see how the expansion of the universe has changed over time, which will help us understand why it is accelerating,” said Rita Tojeiro from the University of Portsmouth in England.

“When you’re trying to reach 1 percent, you have to be paranoid about everything that could go even slightly wrong,” said Mariana Vargas-Magaña from Carnegie Mellon University in Pittsburg, Pennsylvania. For example, slight differences in how galaxies were identified could have thrown off the entire measurement of their distribution, so different parts of the sky had to be checked carefully. “Fortunately, there are plenty of careful people on our team to check our assumption,” said Vargas- Magañas. “By the time all of them are satisfied, we are sure we didn’t miss anything.”

For now, the BOSS measurements appear consistent with a form of dark energy that stays constant through the history of the universe. This “cosmological constant” is one of just six numbers needed to make a model that matches the shape and large-scale structure of the universe. Schlegel likens this six-number model to a pane of glass, which is pinned in place by bolts that represent different measurements of the history of the universe. “BOSS now has one of the tightest of those bolts, and we just gave it another half-turn,” said Schlegel. “Each time you ratchet up the tension and the glass doesn’t break, that’s a success of the model.”